All I can say is I've experienced such restlessness in many WILD attempts, even for hours on end, but have also still managed to get LDs in a number of instances. In these cases, I had to be really patient with my attempt, acknowledging that I will have an LD no matter how little sleep I get. Not the most ideal situation, but it worked for me.

That being said, I'm sure you as well would prefer a more, shall I say, balanced approach?